Finding the Third Proportional to 78,774 and 164,190

Step by Step Solution

1. Step 1: Write the proportion equation
   78,774 : 164,190 = 164,190 : x
2. Step 2: Convert to fraction form
   78,774/164,190 = 164,190/x
3. Step 3: Cross multiply
   78,774x = 164,190 × 164,190
4. Step 4: Simplify right side
   78,774x = 26,958,356,100
5. Step 5: Solve for x
   x = 26,958,356,100/78,774
6. Step 6: Final answer
   x = 342,224.03